It is proved that under some conditions the set of all solutions of an initial value problem for $n$-th order functional differential system on an unbounded interval is a compact $R_\delta $.
@article{107697,
author = {Zbyn\v ek Kub\'a\v cek},
title = {On the structure of the solution set of a functional-differential system on an unbounded interval},
journal = {Archivum Mathematicum},
volume = {035},
year = {1999},
pages = {215-228},
zbl = {1054.34103},
mrnumber = {1725839},
language = {en},
url = {http://dml.mathdoc.fr/item/107697}
}
Kubáček, Zbyněk. On the structure of the solution set of a functional-differential system on an unbounded interval. Archivum Mathematicum, Tome 035 (1999) pp. 215-228. http://gdmltest.u-ga.fr/item/107697/
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